41209 has 9 divisors (see below), whose sum is σ = 49647. Its totient is φ = 34104.

The previous prime is 41203. The next prime is 41213. The reversal of 41209 is 90214.

41209 = T_{14} + T_{15} + ... +
T_{62}.

The square root of 41209 is 203.

It is a perfect power (a square), and thus also a powerful number.

41209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21609 + 19600 = 147^2 + 140^2 .

It is not a de Polignac number, because 41209 - 2^{3} = 41201 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 41192 and 41201.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 41209.

It is not an unprimeable number, because it can be changed into a prime (41201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1407 + ... + 1435.

2^{41209} is an apocalyptic number.

41209 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41209 is the 203-rd square number.

41209 is the 102-nd centered octagonal number.

It is an amenable number.

41209 is a deficient number, since it is larger than the sum of its proper divisors (8438).

41209 is an equidigital number, since it uses as much as digits as its factorization.

41209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 41209 is about 34.5406647854.

Multiplying 41209 by its sum of digits (16), we get a square (659344 = 812^{2}).

The spelling of 41209 in words is "forty-one thousand, two hundred nine".

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